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  • An analysis of physics-base...
    Wang, Bo; Cai, Zemin; Shen, Lixin; Liu, Tianshu

    Journal of computational and applied mathematics, 03/2015, Volume: 276
    Journal Article

    A variational solution of the physics-based optical flow equation is studied for extraction of high-resolution velocity fields from flow visualization images. The solution to preserve discontinuities in a fluid velocity field is mathematically justified. The uniqueness of the solution and the convergence of a successive approximation sequence are proven. A numerical algorithm is developed and examined through numerical experiments.